Many of the GOP's biggest donors asked the Republican National Committee to cut ties with Donald Trump, saying the allegations that he mistreated women threatened to inflict lasting damage on the party's image, according to The New York Times.

Spokespersons for Trump's campaign and the RNC did not immediately respond to CNBC's request for comment.

One donor in particular, New York investor and philanthropist Bruce Kovner, told the Times Trump is a "dangerous demagogue" and is not suited to take on the responsibilities of being president.

Other leading Republican donors told the party to distance itself from Trump well before the publication of Trump's recording last week, according to the Times.